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Finding the Third Proportional to 57,043.69 and 132,051.38

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Solution

The third proportional to 57,043.69 and 132,051.38 is: 305,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,043.69 : 132,051.38 = 132,051.38 : x
  2. Step 2: Convert to fraction form
    57,043.69/132,051.38 = 132,051.38/x
  3. Step 3: Cross multiply
    57,043.69x = 132,051.38 × 132,051.38
  4. Step 4: Simplify right side
    57,043.69x = 17,437,565,639.39
  5. Step 5: Solve for x
    x = 17,437,565,639.39/57,043.69
  6. Step 6: Final answer
    x = 305,687.91

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.